Question:

Select the correct graph showing the difference (d) between total energy and potential energy of a particle in linear SHM with position x of the particle (x = 0 is the mean position)

Updated On: Mar 19, 2025
  • the difference (d) between total energy and potential energy of a particle in linear SHM
  • the difference (d) between total energy and potential energy of a particle in linear SHM
  • the difference (d) between total energy and potential energy of a particle in linear SHM
  • the difference (d) between total energy and potential energy of a particle in linear SHM
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The Correct Option is A

Solution and Explanation

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Concepts Used:

Energy In Simple Harmonic Motion

We can note there involves a continuous interchange of potential and kinetic energy in a simple harmonic motion. The system that performs simple harmonic motion is called the harmonic oscillator.

Case 1: When the potential energy is zero, and the kinetic energy is a maximum at the equilibrium point where maximum displacement takes place.

Case 2: When the potential energy is maximum, and the kinetic energy is zero, at a maximum displacement point from the equilibrium point.

Case 3: The motion of the oscillating body has different values of potential and kinetic energy at other points.